Atkin-Lehner |
5- 7+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
92225d |
Isogeny class |
Conductor |
92225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
379756265875 = 53 · 78 · 17 · 31 |
Discriminant |
Eigenvalues |
1 1 5- 7+ 0 -3 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4211,100543] |
[a1,a2,a3,a4,a6] |
Generators |
[3508:-13791:64] [31:-9:1] |
Generators of the group modulo torsion |
j |
66042143538461/3038050127 |
j-invariant |
L |
14.570395279302 |
L(r)(E,1)/r! |
Ω |
0.94137366367738 |
Real period |
R |
3.8694505278766 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999453 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92225e1 |
Quadratic twists by: 5 |